Generally it seems people prefer to keep symbolic and numerical computation separate. Perhaps it's due to the cultural schism between pure and applied mathemati

Generally it seems people prefer to keep symbolic and numerical computation separate. Perhaps it's due to the cultural schism between pure and applied mathematics, or perhaps it's something else. Having said that, I think people tend to prefer to work out their final equations using symbolic software before transcribing the functions into a numerical system. Maybe it's too hard to reason about what's going on if your machine is both deriving the equations and computing the numerical result in one go?